Overview
My research focuses on the development and analysis of structure-preserving numerical methods for random nonlinear polarization models, as well as inverse problems in electromagnetics. My broader interests include computational electromagnetics, uncertainty quantification, optimization, random ODEs and PDEs, homogenization, scientific computing, probability, and scientific machine learning.
Publications
Emmanuel E. Oguadimma, Bassant Elkalzah, Dominic O. Oranugo, Mustafa Bayram, and Okechukwu Obulezi. "A Foundational Review of Ordinary Differential Equation Solution Methods and Their Inherent Symmetries.'' Boletim da Sociedade Paranaense de Matemática}, 44(8), 2026. https://doi.org/10.5269/bspm.80626
Bright C. Nwankwo, Doaa M.H. Ahmed, Emmanuel E. Oguadimma, Chinonso Michael Eze, Okechukwu J. Obulezi, Ehab M. Almetwally, and Mohammed Elgarhy. "A new family of generalized distributions based on Modi-G transformation, with applications in Epidemiology, Engineering, and Environmental Science.'' Scientific African, 32, e03302, 2026. https://doi.org/10.1016/j.sciaf.2026.e03302
Okechuwku J. Obulezi, Emmanuel E. Oguadimma, Chinyere P. Igbokwe, Chinelo U.Chikwelu, Gaber Sallam Salem Abdalla, John T. Mendy, Ahmed S. Abdelzaher, Mohammed Elgarhy. “A New Unit Family of Distributions with Applications to Public Health, Environmental, and Financial Data.” Applied Mathematics & Information Sciences 19, No. 6, 1437-1461 (2025). https://doi.org/10.18576/amis/190617
Bassant Elkalzah, Emmanuel E. Oguadimma, Victory C. Obieke, Chinonso Michael Eze, Okechukwu J. Obulezi, and Mohammed Elgarhy. “A New Family of Generalized Distributions, with Applications and Benchmarking against Machine Learning Models.” International Journal of Statistics in Medical Research 14, 886–919 (2025). https://doi.org/10.6000/1929-6029.2025.14.80
Victory C. Obieke, Emmanuel E. Oguadimma. “Structure-Preserving Physics-Informed Neural Network for the Korteweg–de Vries (KdV) Equation.” arXiv preprint arXiv:2511.00418 (2025).
Emmanuel Chibuogu Asogwa, Mmesoma P. Nwankwo, Emmanuel E. Oguadimma, and Chinyere P. Okechukwu, Hybrid LSTM-CNN deep learning framework for stock price prediction with google stock and reddit sentiment data, Innovation in Computer and Data Sciences 1 (1): 32–50, August 2025
Presentations
Multidimensional Structure-Preserving FDTD Methods for Maxwell's Equations in Kerr-Debye-Lorentz Media, Poster Presentation, ICERM, Simulation-Based Optimization with Applications, 2026.
Structure-Preserving High-Order FDTD Methods for Maxwell's Equations in Kerr-Debye-Lorentz Media, PNW SIAM Conference, 2025
Birth-Death Markov Chain, Probability class, OSU, June 2025.
Finite Element Methods of Least-Squares Type, Finite Element for Partial Differential Equations class, OSU, June 2025.
Analysis of Nonlinear Random Polarization in Dispersive Dielectrics, M.Sc. Presentation, June 2025.
Analysis of Nonlinear Random Polarization, 9th Cascade RAIN Meeting, April 2025.
Optimization of Random Material Parameters in Nonlinear Wave Propagation, Inverse problem class, OSU, March 2025..
Exploring Sensitivity to Uncertainty to Nonlinear Debye Media, Poster Presentation, SIAMCSE25, March 2025.
Technical Report
Emmanuel E. Oguadimma and Nathan L. Gibson, Analysis of Nonlinear Random Polarization in Dispersive Dielectrics, (submitted), 2026